A multi-term spherical harmonic expansion of the Boltzmann equation for application to low-temperature collisional plasmas

2019 ◽  
Vol 26 (10) ◽  
pp. 103506 ◽  
Author(s):  
S. B. Swanekamp ◽  
P. F. Ottinger ◽  
P. E. Adamson ◽  
J. L. Giuliani ◽  
Tz. B. Petrova ◽  
...  
Keyword(s):  
Boltzmann Equation ◽  
Low Temperature ◽  
Spherical Harmonic ◽  
Spherical Harmonic Expansion ◽  
The Boltzmann Equation

Inelastic collision integral approximation of the Boltzmann equation

1976 ◽  
Vol 16 (1) ◽  
pp. 1-15 ◽  
Author(s):  
Pierre Ségur ◽  
Joëlle Lerouvillois-Gaillard
Keyword(s):  
Distribution Function ◽  
Boltzmann Equation ◽  
Power Series ◽  
Spherical Harmonic ◽  
Inelastic Collision ◽  
Collision Integral ◽  
Spherical Harmonic Expansion ◽  
Square Root ◽  
Integral Approximation ◽  
The Boltzmann Equation

A study is made of the inelastic collision integral of the Boltzmann equation using scattering probability formalism. The collision operators are expanded in a power series in the square root of the ratio of masses.Furthermore, a spherical harmonic expansion is made of all the operators so obtained. These developments are valid whatever the shape of the distribution function of the particles.

Gate Current Calculations Using Spherical Harmonic Expansion of Boltzmann Equation

2009 ◽  
Author(s):  
Seonghoon Jin ◽  
Andreas Wettstein ◽  
Woosung Choi ◽  
Fabian M. Bufler ◽  
Eugeny Lyumkis
Keyword(s):  
Boltzmann Equation ◽  
Spherical Harmonic ◽  
Spherical Harmonic Expansion ◽  
Gate Current
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